Math 1 Topic 1 Practice A

Which expression is equivalent to (3x² – 5x + 2) – (–2x + 6 + x²)?

• 2x² - 3x - 4

• 4x² + 7x + 8

• 5x² - 2x - 11

• 6x² - 2x + 30

Which expression is equivalent to (x – 2) – (5x + 2)?

• -4x - 4

• -4x - 2

• 6x + 4

• 6x

An isosceles triangle has a base that measures (3x + 6) units long. Its perimeter measures (5x + 14) units. Which expression represents the length of one of its congruent sides?

• (x + 4)

• (x + 10)

• (8x + 20)

• (11x + 2)

Marcus wants to exchange his American dollars to pesos before leaving on a trip to Mexico. A bank offers 13 pesos for each American dollar. The bank charges a service fee of $2.50 to exchange the money. Which equation models the number of pesos, y, that Marcus will receive for x American dollars after the service fee?

• y = 13x - 2.50

• y = 13(x - 2.50)

Linda can mow the lawn in 3 hours. Ron can mow the lawn in 2 hours. How long would it take Linda and Ron to mow the lawn if they worked together?

• 1 hour

• 2 hours

Jamal works at a grocery store part-time. He must earn at least $200 each week.

He earns $8.50 per hour. Which inequality represents the number of hours, x, Jamal must work each week?

• 200x > 8.50

• 8.50x > 200

A new neighborhood initially has 48 houses. The number of houses grows at a rate of 5% per month. Approximately how many houses will be in the neighborhood after 3 months?

• 48

• 50

• 56

• 62

Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x. On Friday, Antonio earned $157.50. Which equation can be used to determine how many tables Antonio served on Friday?

• 20.00x + 5.50 = 157.50

• 20.00x - 5.50 = 157.50

• 20.00 + 5.50x = 157.50

• 20.00 - 5.50x = 157.50

Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?

• 4.29x + 6.99y > 88.00

• 4.29x + 6.99y < 88.00

Martha wants to buy a new bike that costs $79, including tax. She currently has $15 saved. She began a dog walking business to earn the remaining money needed to buy the bike. She charges $5 for each dog she walks. What is the fewest number of dogs that Martha needs to walk to have enough money to buy the bike?

• 12

• 13

• 18

• 19